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Finding the Fourth Proportional to 47,171.73, 65,093.05 and 27,787.56

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Solution

The fourth proportional to 47,171.73, 65,093.05 and 27,787.56 is: 38,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,171.73 : 65,093.05 = 27,787.56 : x
  2. Step 2: Convert to fraction form
    47,171.73/65,093.05 = 27,787.56/x
  3. Step 3: Cross multiply
    47,171.73x = 65,093.05 × 27,787.56
  4. Step 4: Simplify right side
    47,171.73x = 1,808,777,032.46
  5. Step 5: Solve for x
    x = 1,808,777,032.46/47,171.73
  6. Step 6: Final answer
    x = 38,344.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.